基于特征值极限分布的合作频谱感知算法

doi:10.11959/j.issn.1000-436x.2015010

通信学报 ›› 2015, Vol. 36 ›› Issue (1): 84-89.doi: 10.11959/j.issn.1000-436x.2015010

基于特征值极限分布的合作频谱感知算法

弥寅,卢光跃

西安邮电大学无线网络安全技术国家工程实验室，陕西西安 710121

出版日期:2015-01-25 发布日期:2017-06-21
基金资助:
国家科技重大专项基金资助项目;国家自然科学基金资助项目;国家自然科学基金资助项目;陕西省自然科学基金资助项目;陕西省自然科学基金资助项目;陕西省自然科学基金资助项目;陕西省教育厅专项科研计划基金资助项目

Cooperative spectrum sensing algorithm based on limiting eigenvalue distribution

Yin MI,Guang-yue LU

National Engineering Laboratory for Wireless Security,Xi'an University of Posts and Telecommunications,Xi'an 710121,China

Online:2015-01-25 Published:2017-06-21
Supported by:
The National Science and Technology Major Projects;The National Natural Science Foundation of China;The National Natural Science Foundation of China;The Natural Science Foundation of Shaanxi Province;The Natural Science Foundation of Shaanxi Province;The Natural Science Foundation of Shaanxi Province;The Research Program of Education Bureau of Shaanxi Province

摘要/Abstract

摘要：

采用最新的随机矩阵理论，对多个认知用户接收信号采样协方差矩阵的最小特征值的极限分布进行了分析，提出了一种改进的最大最小特征值合作感知和门限判决方法。该算法不需预知授权用户信号的先验知识，且能有效克服噪声不确定度的影响。与现有算法相比，在给定虚警概率时，仿真结果显示该算法判决门限更低、检测概率更高；而且在认知用户和采样数较少时，也能获得很好的检测性能。

关键词: 认知无线电, 频谱感知, 随机矩阵理论, 采样协方差矩阵, 特征值极限分布

Abstract:

A novel maximum-minimum eigenvalue (NMME) cooperative spectrum sensing algorithm and threshold decision rule are proposed via analyzing minimum eigenvalue limiting distribution of the covariance matrix of the received signals from multiple cognitive users (CU) by means of latest random matrix theory (RMT).The proposed scheme could not need the prior knowledge of the signal transmitted from primary user (PU) and could effectively overcome the noise uncertainty.At a given probability of false alarm (P_fa),simulation results show that the proposed scheme can get lower decision threshold and higher probability of detection (P_d) compared with the original algorithm,and it can also get better detection performance with fewer CU and smaller sample numbers.

Key words: cognitive radio, spectrum sensing, random matrix theory, sample covariance matrix, limiting eigenvalue dis-tribution

弥寅,卢光跃. 基于特征值极限分布的合作频谱感知算法[J]. 通信学报, 2015, 36(1): 84-89.

Yin MI,Guang-yue LU. Cooperative spectrum sensing algorithm based on limiting eigenvalue distribution[J]. Journal on Communications, 2015, 36(1): 84-89.

图/表 4

参考文献 17

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F₁(t)	t
0.01	?3.90
0.05	?3.18
0.10	?2.78
0.30	?1.91
0.50	?1.27
0.70	?0.59
0.90	0.45
0.95	0.98
0.99	2.02

基于特征值极限分布的合作频谱感知算法

Cooperative spectrum sensing algorithm based on limiting eigenvalue distribution

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